干旱区生态环境知识资源中心(Arid): Interactions of diffusion and nonlocal delay give rise to vegetation patterns in semi-arid environments

Arid

DOI	10.1016/j.amc.2021.126038
	Interactions of diffusion and nonlocal delay give rise to vegetation patterns in semi-arid environments
	Xue, Qiang; Liu, Chen; Li, Li; Sun, Gui-Quan; Wang, Zhen
通讯作者	Sun, GQ (corresponding author), North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China. ; Wang, Z (corresponding author), Northwestern Polytech Univ, Sch Mech Engn, Xian 710072, Peoples R China. ; Wang, Z (corresponding author), Northwestern Polytech Univ, Ctr Opt IMagery Anal & Learning OPTIMAL, Xian 710072, Peoples R China.
来源期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
EISSN	1873-5649
出版年	2021
卷号	399
英文摘要	Vegetation pattern is caused by local instability in phase space, which can reflect the distribution characteristics of vegetation in the studied space. In semi-arid environment, the vegetation roots will not only absorb the water resources near themselves, but also absorb the water resources in the whole study area, that is to say, the absorption of water resources by vegetation roots is a nonlocal process. Meanwhile, the feedback mechanism of soil-water diffusion plays an important role in the process of water absorption by vegetation roots. However, it is not clear that how the feedback mechanism of nonlocal water absorption by vegetation roots and soil-water diffusion affects vegetation pattern. In this paper, we construct a positive feedback vegetation-water model with nonlocal delay. The instability of Turing pattern is analyzed by analytical method, and the conditions of stable pattern occurrence are obtained. At the same time, we use multi-scale analysis method to obtain the amplitude equation of vegetation-water system. We found that the non-local water absorption intensity of vegetation roots and the feedback of soil-water diffusion can cause the phase change of vegetation pattern. The change of nonlocal water absorption intensity will produce mixed vegetation pattern structure. The enhancement of soil-water diffusion feedback intensity will change the vegetation pattern structure: low density cold spot patterns -> mixed patterns -> high density hot spot patterns. The isolation between vegetation patches will be increased as that nonlocal water absorption intensity is enhanced or the feedback intensity of soil-water diffusion is increased. We also revealed that increasing the feedback intensity of soil water diffusion or nonlocal strength within a certain range is helpful to increase the vegetation density, while excessive feedback intensity or nonlocal strength will induce land desertification. (C) 2021 Elsevier Inc. All rights reserved.
英文关键词	Soil-water diffusion feedback Nonlocal delay Multi-scale analysis Pattern transition Desertification
类型	Article
语种	英语
收录类别	SCI-E
WOS记录号	WOS:000623237200024
WOS类目	Mathematics, Applied
WOS研究方向	Mathematics
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/349493
作者单位	[Xue, Qiang] North Univ China, Dept Comp Sci & Technol, Taiyuan 030051, Shanxi, Peoples R China; [Xue, Qiang] North Univ China, Data Sci & Technol, Taiyuan 030051, Shanxi, Peoples R China; [Xue, Qiang; Sun, Gui-Quan] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China; [Xue, Qiang; Sun, Gui-Quan] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China; [Liu, Chen] Northwestern Polytech Univ, Ctr Ecol & Environm Sci, Xian 710072, Peoples R China; [Li, Li] Shanxi Univ, Sch Comp & Informat Technol, Taiyuan 030006, Peoples R China; [Li, Li] North Univ China, Sci & Technol Elect Test & Measurement Lab, Taiyuan 030051, Peoples R China; [Wang, Zhen] Northwestern Polytech Univ, Sch Mech Engn, Xian 710072, Peoples R China; [Wang, Zhen] Northwestern Polytech Univ, Ctr Opt IMagery Anal & Learning OPTIMAL, Xian 710072, Peoples R China
推荐引用方式 GB/T 7714	Xue, Qiang,Liu, Chen,Li, Li,et al. Interactions of diffusion and nonlocal delay give rise to vegetation patterns in semi-arid environments[J],2021,399.
APA	Xue, Qiang,Liu, Chen,Li, Li,Sun, Gui-Quan,&Wang, Zhen.(2021).Interactions of diffusion and nonlocal delay give rise to vegetation patterns in semi-arid environments.APPLIED MATHEMATICS AND COMPUTATION,399.
MLA	Xue, Qiang,et al."Interactions of diffusion and nonlocal delay give rise to vegetation patterns in semi-arid environments".APPLIED MATHEMATICS AND COMPUTATION 399(2021).